### Home > CC4 > Chapter 8 > Lesson 8.1.6 > Problem 8-84

8-84.

Determine values for

*a*and*b*that make each system of equations true (i.e., solve each system). Be sure to show your work or explain your thinking clearly. Homework Help ✎a.

6 =

*a*·*b*^{0}

24 =*a*·*b*^{2}b.

32 =

*a*·*b*^{2}

128 =*a*·*b*^{3}

What is *b*^{0} equivalent to?

Once you have the value for *a* use it to solve for *b* in second equation.

Solve both equations for *a*.

Set both equations equal to each other (Equal Values Method), and multiply both sides by the common denominator of both fractions.

Solve for *b* and substitute *b* back into one of the original equations to solve for *a*.

*a* = 2, *b* = 4